Atkin-Lehner |
2+ 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102i |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
3998232576 = 212 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 0 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-765,7749] |
[a1,a2,a3,a4,a6] |
Generators |
[10:27:1] |
Generators of the group modulo torsion |
j |
67967263441/5484544 |
j-invariant |
L |
2.4821595520099 |
L(r)(E,1)/r! |
Ω |
1.3593795959884 |
Real period |
R |
0.91297513929692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678k1 |
Quadratic twists by: -3 |